252716499504 has 400 divisors, whose sum is σ = 846144938496. Its totient is φ = 71327692800.

The previous prime is 252716499473. The next prime is 252716499509. The reversal of 252716499504 is 405994617252.

It is a happy number.

252716499504 is a `hidden beast` number, since 2 + 5 + 2 + 71 + 64 + 9 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (252716499509) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 400501269 + ... + 400501899.

Almost surely, 2^252716499504 is an apocalyptic number.

252716499504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252716499504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423072469248).

252716499504 is an abundant number, since it is smaller than the sum of its proper divisors (593428438992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252716499504 is a wasteful number, since it uses less digits than its factorization.

252716499504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 252716499504 in words is "two hundred fifty-two billion, seven hundred sixteen million, four hundred ninety-nine thousand, five hundred four".